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Finding the Fourth Proportional to 10,360, 14,297.25 and 5,883.76

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Solution

The fourth proportional to 10,360, 14,297.25 and 5,883.76 is: 8,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360 : 14,297.25 = 5,883.76 : x
  2. Step 2: Convert to fraction form
    10,360/14,297.25 = 5,883.76/x
  3. Step 3: Cross multiply
    10,360x = 14,297.25 × 5,883.76
  4. Step 4: Simplify right side
    10,360x = 84,121,587.66
  5. Step 5: Solve for x
    x = 84,121,587.66/10,360
  6. Step 6: Final answer
    x = 8,119.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.